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Finding the Fourth Proportional to 3,475,355,964.90, 5,213,033,947.35 and 3,475,355,964.90

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Solution

The fourth proportional to 3,475,355,964.90, 5,213,033,947.35 and 3,475,355,964.90 is: 5,213,033,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,355,964.90 : 5,213,033,947.35 = 3,475,355,964.90 : x
  2. Step 2: Convert to fraction form
    3,475,355,964.90/5,213,033,947.35 = 3,475,355,964.90/x
  3. Step 3: Cross multiply
    3,475,355,964.90x = 5,213,033,947.35 × 3,475,355,964.90
  4. Step 4: Simplify right side
    3,475,355,964.90x = 18,117,148,624,149,016,576
  5. Step 5: Solve for x
    x = 18,117,148,624,149,016,576/3,475,355,964.90
  6. Step 6: Final answer
    x = 5,213,033,947.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.